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The size of dust particles was measured in a factory. Pictures of particles were taken with a camera attached to a microscope with 50x magnification. 9 imahes of particles were taken giving the following pixel areas of the interior particles: 14900, 32000, 25000, 38900, 16500, 33400, 30200, 23100, and 28700. Dimensions of one pixel are 46.8x46.8 micrometers. Assuming that dust particles are normally distributed, generate the probability density function of the area in micrometers of dust particles.

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